Cohen–Macaulayness of multiplication rings and modules
Tom 95 / 2003
Colloquium Mathematicum 95 (2003), 133-138
MSC: 13C14, 13E05.
DOI: 10.4064/cm95-1-11
Streszczenie
Let be a commutative multiplication ring and let N be a non-zero finitely generated multiplication R-module. We characterize certain prime submodules of N. Also, we show that N is Cohen–Macaulay whenever R is Noetherian.